Answer: 24 cm
Step-by-step explanation:
Mrs Lopez cut 46cm of yarn.
Miss Hamilton then cut 22cm less than what Mrs Lopez had cut.
Mrs. Hamilton must have therefore cut:
This is a case of subtraction:
= 46 - 22
= 24 cm
The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
<u>| -3 3 3 </u>
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
More about Synthetic division method :
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Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is 
± 
Given the polar curve is 
4 
This is an equation of vertical cardioid.
So, it represents a cardioid.
X can always be used a 1 .
Area = 1/2 * base * height
= 1/2 * 20 * 6
= 1/2 * 120
= 60 ft^2
